Long Division Problem: Divide 1250 by 2 Using Standard Algorithm

Long Division with Three-Digit Quotients

21250

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Let's start by taking the leftmost digit in the dividend
00:08 2 is greater than 1, so we'll add the next digit and then divide
00:11 Write the result without remainder above, pay attention to placement
00:15 Now multiply the result by the divisor
00:18 Subtract the product from the number
00:23 Now bring down the next digit and use the same steps
00:26 Divide
00:31 Write the result above
00:34 Multiply the result, subtract
00:41 Now bring down the next digit and use the same steps
00:45 Divide
00:48 Write the result above
00:52 Multiply the result, subtract
00:55 We got a remainder of 0
00:59 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

21250

2

Step-by-step solution

To solve the division 12502 \frac{1250}{2} , follow these steps:

  • Step 1: Start with the first digit of 1250, which is 1. 2 does not fit into 1, so consider the first two digits, 12.
  • Step 2: Divide 12 by 2: 12÷2=6 12 \div 2 = 6 . Place 6 in the quotient. Multiply 6 by 2 to get 12, and subtract this from 12, resulting in 0.
  • Step 3: Bring down the next digit, which is 5. Now, divide 5 by 2: 5÷2=2 5 \div 2 = 2 (since 2 goes into 5 two times). Multiply 2 by 2 to get 4, subtract from 5, leaving 1.
  • Step 4: Bring down the final digit, 0. Divide 10 by 2: 10÷2=5 10 \div 2 = 5 . Multiply 5 by 2 to get 10, leaving a remainder of 0.

So, the quotient of 12502 \frac{1250}{2} is 625 625 .

Therefore, the solution to the problem is 625 625 .

3

Final Answer

625 625

Key Points to Remember

Essential concepts to master this topic
  • Division Rule: Start from leftmost digits, work systematically right
  • Technique: Bring down next digit when remainder appears: 5÷2=2 remainder 1
  • Check: Multiply quotient by divisor: 625×2=1250 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to bring down the next digit
    Don't leave remainders hanging without bringing down the next digit = incomplete division! This gives you a partial quotient instead of the full answer. Always bring down each remaining digit to continue the division process.

Practice Quiz

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216

FAQ

Everything you need to know about this question

What do I do when the divisor doesn't go into the first digit?

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That's normal! When 2 doesn't go into 1, simply combine it with the next digit. So instead of dividing 1÷2, you divide 12÷2=6.

How do I handle remainders in each step?

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Write the remainder next to the digit you bring down. For example, when 5÷2=2 remainder 1, you bring down the 0 to make 10, then divide 10÷2=5.

Why do I need to multiply and subtract in each step?

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Multiplying checks how much you've used up, and subtracting finds what's left over. This remainder combines with the next digit for your next division step.

How can I check if my long division is correct?

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Multiply your quotient by the divisor: 625×2=1250 625 \times 2 = 1250 . If you get back to your original number, your division is correct!

What if I make an error in the middle of the problem?

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Don't worry! Long division is step-by-step. Check each multiplication and subtraction carefully. If something doesn't look right, go back and recheck that step.

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